A country with three states has 60 seats in the legislature. The population of each state is shown in the table.StateABC55,594204,554537,852Populationa) Apportion the seats using Hamilton's method.b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Doesthe new-states paradox occur using Hamilton's method?StateBCPopulation204,554537,852A55,594a) Apportion the seats.StatePopulationNumber of CongressionalSeatsType whole numbers.)Total798,000....A55,594D69,160BC204,554537,8520 7 0Total867,160

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Answered: A country with three states has 60…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A country consists of 20 states. There are 386 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Seats: 386 State Population Standard Initial Hamilton Jefferson's Modified Benefit and Lower Quotas Disadvantage Jefferson Quotas Quota without Modified Quotas decimal A 538,723 61,837 C 346,146 448,119 D E 500,521 89,678 221,803 F G H 314,404 41,754 373,154 I J K 94,310 399,190 M 297,083 N 391,098 163,551 P 218,689 Q 329,896 77,150 113,753 R S 101,301 Total 5,122,220
Recall that the Bandana Republic is apportioning M=160 congressional seats among four states. The states' populations are shown in the table below. Apure Barinas Carabobo Dolores Population 3,310,000 2,670,000 1,330,000 690,000 Find the apportionment under Adam's method of the Bandana Republic Congress. (Hint: Look for suitable divisors in the interval 50,200 to 50,700) Apure gets Answer seats, Barinas gets Answer seats, Carabobo gets Answer seats, and Dolores gets Answer.
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State A B C Total Population 162 250 488 900 a) Complete the table with the apportionment of the seats using Hamilton's method. State A B C Total Population 162 250 488 900 Hamilton's apportionment ? ? ? 30
A country with three states has 60 seats in the legislature. The population of each state is shown in the table. State A B C Total Population 80,256 295,296 776,448 1,152,000 a) Apportion the seats using Hamilton's method. b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Does the new-states paradox occur using Hamilton's method? B с State Population A 80,256 D 99,840 Total 1,251,840 295,296 776,448 a) Apportion the seats. State B C A 80,256 Population 295,296 776,448 Number of Congressional Seats (Type whole numbers.) b) Does the new-states paradox occur using Hamilton's method when a fourth state is introduced? A. Yes; State C loses a seat to State B. B. Yes; State A loses a seat to State C. C. Yes; State B loses a seat to State A. D. No; the new-states paradox does not occur. ...
Using Webster's Method, if the modified quota is 50,100 and the population for State J is 1, 646,000, then the exact number of seats to be apportioned for State J is Group of answer choices 33 34 31 32
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A country with three states has 60 seats in the legislature. The population of each state is shown in the table. State Population a) Apportion the seats using Hamilton's method. b) Suppose that a fourth state with the population shown in the table is added, with five additional seats. Does the new-states paradox occur using Hamilton's method? State A В C Total 58,102 213,782 562,116 834,000 A В C Total O. Population 58,102 213,782 562,116 72,280 906,280 ... a) Apportion the seats. State A В Population 58,102 213,782 562,116 Number of Congressional Seats (Type whole numbers.)
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State Population B 251 A Total 162 487 900 ..... a) Complete the table with the apportionment of the seats using Hamilton's method. State Population Hamilton's apportionment A 162 В Total 251 487 900 30
The population of departments in a particular company are given in the table below. Last year, the Hamilton Method was used to apportion 28 IT technicians to support all of the departments. This year, a new IT technician will be hired. Using the Huntington-Hill method, which department should get the new hire? Department Population IT Technicians 5 7 A BCDEF 37 50 18 49 39 20 2 6 5 3 a) А b) В C d) D
4. a,b,c only

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